Ruby | Matrix cofactor_expansion() function

The cofactor_expansion() is an inbuilt method in Ruby returns the cofactor_expansion of the given matrix along a given row or column. In other words, it returns the Laplace expansion. 

Syntax: mat1.cofactor_expansion(row: num or col:num)
Parameters: The function accepts one mandatory parameter row or column whose cofactor_expansion is returned. 
Return Value: It returns the cofactor-expansion of the given matrix along the given row or column.

Example 1: 

Ruby

# Ruby program for cofactor_expansion() method in Matrix

# Include matrix
require "matrix"

# Initialize a matrix
mat1 = Matrix[[1, 21], [31, 18]]

# Prints the value of mat1.cofactor_expansion
# first row
puts  mat1.cofactor_expansion(row:1)

Output: 

-633

Example 2: 

Ruby

# Ruby program for cofactor_expansion() method in Matrix

# Include matrix
require "matrix"

# Initialize a matrix
mat1 =  Matrix[[13, 1, 5], [12, 1, 5], [11, 2, 5]]

# Prints the value of mat1.cofactor_expansion
# first row
puts  mat1.cofactor_expansion(column:0)

Output: 

-5

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